58.01 is what percent of 108 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 108 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 108, so we can write it down as 100%=108.
4. We know, that x% equals 58.01 of the output value, so we can write it down as x%=58.01.
5. Now we have two simple equations:
1) 100%=108
2) x%=58.01
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=108/58.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.01 is what percent of 108

100%/x%=108/58.01
(100/x)*x=(108/58.01)*x       - we multiply both sides of the equation by x
100=1.8617479744872*x       - we divide both sides of the equation by (1.8617479744872) to get x
100/1.8617479744872=x
53.712962962963=x
x=53.712962962963

now we have:
58.01 is 53.712962962963% of 108